Preheat the oven to 350°F (175°C).

In a mixing bowl, combine graham cracker crumbs, granulated sugar, and melted butter. Press the mixture into the bottom of a baking dish to form the crust.

In another bowl, beat the cream cheese with the ¾ cup of granulated sugar until smooth.

Add the egg and vanilla extract, mixing until well combined.

Spread the cream cheese mixture over the crust.

In a separate bowl, combine sliced strawberries, lemon juice, ½ cup light brown sugar, cornstarch, old fashioned rolled oats, remaining 1 cup light brown sugar, ground cinnamon, and salt. Mix well.

Pour the strawberry mixture over the cream cheese layer in the baking dish.

Dot the top with cold butter.

Bake for approximately 85 minutes, or until set.

Allow to cool before slicing into bars.